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Finding the Fourth Proportional to 15,597.76, 23,358.66 and 8,208.40

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Solution

The fourth proportional to 15,597.76, 23,358.66 and 8,208.40 is: 12,292.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,597.76 : 23,358.66 = 8,208.40 : x
  2. Step 2: Convert to fraction form
    15,597.76/23,358.66 = 8,208.40/x
  3. Step 3: Cross multiply
    15,597.76x = 23,358.66 × 8,208.40
  4. Step 4: Simplify right side
    15,597.76x = 191,737,224.74
  5. Step 5: Solve for x
    x = 191,737,224.74/15,597.76
  6. Step 6: Final answer
    x = 12,292.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.